Motivated by the response of industrial piping under seismic loading conditions, the present study examines the behavior of steel process piping elbows, subjected to strong cyclic loading conditions. A set of experiments is conducted on elbow specimens subjected to constant amplitude in-plane cyclic bending, resulting into failure in the low-cycle-fatigue range. The experimental results are used to develop a low-cycle-fatigue curve within the strain-based fatigue design framework. The experimental work is supported by finite element analyses, which account for geometrical and material nonlinearities. Using advanced plasticity models to describe the behavior of elbow material, the analysis focuses on localized deformations at the critical positions where cracking occurs. Finally, the relevant provisions of design codes (ASME B31.3 and EN 13480) for elbow design are discussed and assessed, with respect to the experimental and numerical findings.

References

1.
Suzuki
,
K.
,
2006
, “
Earthquake Damage to Industrial Facilities and Development of Seismic Vibration Control Technology—Based on Experience from the 1995 Kobe Earthquake
,”
J. Disaster Research
,
1
(
2
), pp.
177
188
.
2.
Sobel
,
L. H.
, and
Newman
,
S. Z.
,
1980
, “
Comparison of Experimental and Simplified Analytical Results for the In-Plane Plastic Bending and Buckling of an Elbow
,”
ASME J. Pressure Vessel Technol.
,
102
, pp.
400
409
.10.1115/1.3263351
3.
Sobel
,
L. H.
, and
Newman
,
S. Z.
,
1986
, “
Simplified, Detailed and Isochronous Analysis and Test Results for the In-Plane Elastic-Plastic and Creep Behavior of an Elbow
,”
ASME J. Pressure Vessel Technol.
,
108
, pp.
297
304
.10.1115/1.3264789
4.
Dhalla
,
A. K.
,
1987
, “
Collapse Characteristics of a Thin-Walled Elbow
,”
ASME J. Pressure Vessel Technol.
,
109
, pp.
394
401
.10.1115/1.3264922
5.
Gresnigt
,
A. M.
, and
Van Foeken
,
R. J.
,
1985
, “Proefresultaten van proeven op gladde bochten en vergelijking daarvan met de in OPL 85-333 gegeven rekenregels,” TNO-IBBC, Report No. OPL 85-334, Delft, The Netherlands (Tests on Smooth Bends and Comparison of the Results With Analytical Models).
6.
Gresnigt
,
A. M.
,
1986
, “
Plastic Design of Buried Steel Pipelines in Settlement Areas
,”
Heron
,
31
(
4
).
7.
Gresnigt
,
A. M.
, and
Van Foeken
,
R.
,
1995
, “
Strength and Deformation Capacity of Bends in Pipelines
,”
Int. J. Offshore Polar Eng.
,
5
(
4
), pp.
294
307
.
8.
Greenstreet
,
W. L.
,
1978
, “
Experimental Study of Plastic Responses of Pipe Elbows
,” Report No. ORNL/NUREG-24, Contract No. W-7405-eng-26.
9.
Hilsenkopf
,
P.
,
Boneh
,
B.
, and
Sollogoub
,
P.
,
1988
, “
Experimental Study of Behavior and Functional Capability of Ferritic Steel Elbows and Austenitic Stainless Steel Thin-Walled Elbows
,”
Int. J. Pressure Vessels Piping
,
33
, pp.
111
128
.10.1016/0308-0161(88)90065-8
10.
Suzuki
,
N.
, and
Nasu
,
M.
,
1989
, “
Non-Linear Analysis of Welded Elbows Subjected to In-Plane bending
,”
Comput. Struct.
,
32
(
3/4
), pp.
871
881
.10.1016/0045-7949(89)90371-4
11.
Tan
,
Y.
,
Matzen
,
V. C.
, and
Yu
,
L. X.
,
2002
, “
Corelation of Test and FEA Results for the Nonlinear Behavior of Straight Pipes and Elbows
,”
ASME J. Pressure Vessel Technol.
,
124
, pp.
465
475
.10.1115/1.1493806
12.
Shalaby
,
M. A.
, and
Younan
,
M. Y. A.
,
1998
, “
Limit Loads for Pipe Elbows With Internal Pressure Under In-Plane Closing Bending Moments
,”
ASME J. Pressure Vessel Technol.
,
120
, pp.
35
42
.10.1115/1.2841882
13.
Mourad
,
H. M.
, and
Younan
,
M. Y. A.
,
2001
, “
Nonlinear Analysis of Pipe Bends Subjected to Out-of-Plane Moment Loading and Internal Pressure
,”
ASME J. Pressure Vessel Technol.
,
123
(
2
), pp.
253
258
.10.1115/1.1310335
14.
Chattopadhyay
J.
,
Nathani
,
D. K.
,
Dutta
,
B. K.
, and
Kushwaha
,
H. S.
,
2000
, “
Closed-Form Collapse Moment Equations of Elbows Under Combined Internal Pressure and In-Plane Bending Moment
,”
ASME J. Pressure Vessel Technol.
,
122
, pp.
431
436
.10.1115/1.1285988
15.
Karamanos
,
S. A.
,
Giakoumatos
,
E.
, and
Gresnigt
,
A. M.
,
2003
, “
Nonlinear Response and Failure of Steel Elbows Under In-Plane Bending and Pressure
,”
ASME J. Pressure Vessel Technol.
,
125
(
4
), pp.
393
402
.10.1115/1.1613949
16.
Karamanos
,
S. A.
,
Tsouvalas
,
D.
, and
Gresnigt
,
A. M.
,
2006
, “
Ultimate Bending Capacity and Buckling of Pressurized 90 deg Steel Elbows
,”
ASME J. Pressure Vessel Technol.
,
128
(
3
), pp.
348
356
.10.1115/1.2217967
17.
Pappa
,
P.
,
Tsouvalas
,
D.
,
Karamanos
,
S. A.
, and
Houliara
,
S.
,
2008
, “
Bending Behavior of Pressurized Induction Bends
,”
Offshore Mechanics and Arctic Engineering Conference
,
ASME
,
Lisbon, Portugal
, Paper No. OMAE2008-57358.
18.
Yahiaoui
,
K.
,
Moffat
,
D. G.
, and
Moreton
,
D. N.
,
1996
, “
Response and Cyclic Strain Accumulation of Pressurized Piping Elbows Under Dynamic In-Plane Bending
,”
J. Strain Anal. Eng. Des.
,
31
(
2
), pp.
135
151
.10.1243/03093247V312135
19.
Yahiaoui
,
K.
,
Moreton
,
D. N.
, and
Moffat
,
D. G.
,
1996
, “
Response and Cyclic Strain Accumulation of Pressurized Piping Elbows Under Dynamic Out-of-Plane Bending
,”
J. Strain Anal. Eng. Des.
,
31
(
2
), pp.
153
166
.10.1243/03093247V312153
20.
Moreton
,
D. N.
,
Yahiaoui
,
K.
, and
Moffat
,
D. G.
,
1996
, “
Onset of Ratchetting in Pressurised Piping Elbows Subjected to In-Plane Bending Moments
,”
Int. J. Pressure Vessels Piping
,
68
(
1
), pp.
73
79
.10.1016/0308-0161(94)00041-7
21.
Slagis
,
G. C.
,
1998
, “
Experimental Data on Seismic Response of Piping Components
,”
ASME J. Pressure Vessel Technol.
,
120
, pp.
449
455
.10.1115/1.2842358
22.
Fujiwaka
,
T.
,
Endou
,
R.
,
Furukawa
,
S.
,
Ono
,
S.
, and
Oketani
,
K.
,
1999
,
Study on Strength of Piping Components Under Elastic-Plastic Behavior Due to Seismic Loading
,”
PVP Conference
,
Seismic engineering
, Paper No. PVP-Vol 137.
23.
DeGrassi
,
G.
,
Hofmayer
,
C.
,
Murphy
,
A.
,
Suzuki
,
K.
, and
Namita
,
Y.
,
2003
, “
BNL Nonlinear Pre-Test Seismic Analysis for the NUPEC Ultimate Strength Piping Test Program
,”
Transaction of SMiRT 17 Conference.
24.
Balan
,
C.
, and
Redektop
,
D.
,
2004
, “
The Effect of Bidirectional Loading on Fatigue Assessment of Pressurized Piping Elbows With Local Thinned Areas
,”
Int. J. Pressure Vessels Piping
,
81
, pp.
235
242
.10.1016/j.ijpvp.2004.01.002
25.
Rahman
,
S. M.
, and
Hassan
,
T.
,
2009
, “
Simulation of Ratcheting Responses of Elbow Piping Components
,”
ASME Pressure Vessels and Piping Division Conference
, Paper No. PVP2009-77819,
Prague, Czech Republic
.
26.
Varelis
,
G. E.
,
Pappa
,
P.
, and
Karamanos
,
S. A.
,
2011
, “
Finite Element Analysis of Industrial Steel Elbows Under Strong Cyclic Loading
,”
ASME PVP 2011 Conference
,
Baltimore, MD
.
27.
Centro Sviluppo Materiali
,
2011
, “
Cyclic Loading on P355N Steel Grade Material Coupons
,” CSM Internal Report, INDUSE RFCS Project.
28.
European Convention for Constructional Steelwork
,
1986
,
Recommended Testing Procedure for Assessing the Behavior of Structural Steel Elements under Cyclic Loads
, ECCS Publication No. 45.
29.
Armstrong
,
P. J.
, and
Frederick
,
C. O.
,
1966
, “A Mathematical Representation of the Multiaxial Bauschinger Effect,” CEGB Report No. RD/B/N 731.
30.
Varelis
,
G. E.
,
2010
, “
Application of the Armstrong-Frederick Cyclic Plasticity Model for Simulating Structural Steel Member Behavior
,” Graduate Diploma Thesis, Department of Mechanical Engineering, University of Thessaly, Volos, Greece.
31.
Lemaitre
,
J.
, and
Chaboche
,
J. L.
,
1990
,
Mechanics of Solid Materials
,
Cambridge University Press
, UK.
32.
Tseng
,
N. T.
, and
Lee
,
G. C.
,
1983
,”
Simple Plasticity Model of the Two-Surface Type
,”
ASCE J. Eng. Mech.
109
, pp.
795
810
.10.1061/(ASCE)0733-9399(1983)109:3(795)
33.
Varelis
,
G. E
,
2012
, “
Numerical Simulation of Steel Members Response Under Strong Cyclic Loading
,” Ph.D. dissertation, Department of Mechanical Engineering, University of Thessaly, Greece.
34.
American Society of Mechanical Engineers
,
2006
,
Process Piping, B31.3
,
ASME Code for Pressure Piping
,
New York, NY
.
35.
Comité Européen de Normalisation
,
2002
,
Metallic Industrial Piping—Part 3: Design and Calculation
, EN13480-3,
Brussels
.
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